Book Review

"Mathematical Models of Musical Scales: A New Approach," by Mark Lindley and Ronald Turner-Smith

In "Mathematical Models of Musical Scales," Mark Lindley and Ronald Turner-Smith attempt to model scales by rejecting traditional Pythagorean ideas and applying modern algebraic techniques of group theory. In a recent "MTO" collaboration, the same authors summarize their work with less emphasis on the mathematical apparatus. This review complements that article, discussing sections of the book the article ignores and examining unique aspects of their models.